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Finding the Third Proportional to 37.78 and 85.97

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Solution

The third proportional to 37.78 and 85.97 is: 195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 85.97 = 85.97 : x
  2. Step 2: Convert to fraction form
    37.78/85.97 = 85.97/x
  3. Step 3: Cross multiply
    37.78x = 85.97 × 85.97
  4. Step 4: Simplify right side
    37.78x = 7,390.63
  5. Step 5: Solve for x
    x = 7,390.63/37.78
  6. Step 6: Final answer
    x = 195.62

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.